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Finding the Third Proportional to 265,934 and 399,087

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Solution

The third proportional to 265,934 and 399,087 is: 598,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,934 : 399,087 = 399,087 : x
  2. Step 2: Convert to fraction form
    265,934/399,087 = 399,087/x
  3. Step 3: Cross multiply
    265,934x = 399,087 × 399,087
  4. Step 4: Simplify right side
    265,934x = 159,270,433,569
  5. Step 5: Solve for x
    x = 159,270,433,569/265,934
  6. Step 6: Final answer
    x = 598,909.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.